Finding the Fourth Proportional to 1,005.50, 1,387.61 and 563.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.50 : 1,387.61 = 563.38 : x
2. Step 2: Convert to fraction form
   1,005.50/1,387.61 = 563.38/x
3. Step 3: Cross multiply
   1,005.50x = 1,387.61 × 563.38
4. Step 4: Simplify right side
   1,005.50x = 781,751.72
5. Step 5: Solve for x
   x = 781,751.72/1,005.50
6. Step 6: Final answer
   x = 777.48